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1345360 = 24567251
BaseRepresentation
bin101001000011101010000
32112100111011
411020131100
5321022420
644500304
714302222
oct5103520
92470434
101345360
11839875
1254a694
13381493
14270412
151b895a
hex148750

1345360 has 40 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 528000.

The previous prime is 1345349. The next prime is 1345361. The reversal of 1345360 is 635431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5235 + ... + 5485.

21345360 is an apocalyptic number.

1345360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345360 is the 670-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648).

1345360 is an abundant number, since it is smaller than the sum of its proper divisors (1841936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345360 is a wasteful number, since it uses less digits than its factorization.

1345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1345360 is about 1159.8965471110. The cubic root of 1345360 is about 110.3941780869.

The spelling of 1345360 in words is "one million, three hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 251 268 335 502 536 670 1004 1072 1255 1340 2008 2510 2680 4016 5020 5360 10040 16817 20080 33634 67268 84085 134536 168170 269072 336340 672680 1345360